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Kinetic equations are crucial for modeling non-equilibrium phenomena, but their computational complexity is a challenge. This paper presents a data-driven approach using reduced order models (ROM) to efficiently model non-equilibrium flows…

Fluid Dynamics · Physics 2023-10-09 Julian Koellermeier , Philipp Krah , Julius Reiss , Zachary Schellin

Among small-scale mobile robots, multi-modal locomotion can help compensate for limited actuator capabilities. However, supporting multiple locomotion modes or gaits in small terrestrial robots typically requires complex designs with low…

Robotics · Computer Science 2022-05-31 Dingkun Guo , Larissa Wermers , Kenn R. Oldham

Robust closed-loop locomotion remains challenging for soft quadruped robots due to high-dimensional dynamics, actuator hysteresis, and difficult-to-model contact interactions, while conventional proprioception provides limited information…

Robotics · Computer Science 2026-02-16 Storm de Kam , Ebrahim Shahabi , Cosimo Della Santina

Serially connected robots are promising candidates for performing tasks in confined spaces such as search-and-rescue in large-scale disasters. Such robots are typically limbless, and we hypothesize that the addition of limbs could improve…

We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear closure models are inspired from successful numerical stabilization techniques used in Large Eddy Simulations (LES), such as Local Projection…

Numerical Analysis · Mathematics 2017-11-28 Mejdi Azaïez , Tomás Chacón Rebollo , Samuele Rubino

Continuum soft robots are nonlinear mechanical systems with theoretically infinite degrees of freedom (DoFs) that exhibit complex behaviors. Achieving motor intelligence under dynamic conditions necessitates the development of…

Legged robots, specifically quadrupeds, are becoming increasingly attractive for industrial applications such as inspection. However, to leave the laboratory and to become useful to an end user requires reliability in harsh conditions. From…

Robotics · Computer Science 2019-08-13 David Wisth , Marco Camurri , Maurice Fallon

This paper systematically decomposes a quadrupedal robot into bipeds to rapidly generate walking gaits and then recomposes these gaits to obtain quadrupedal locomotion. We begin by decomposing the full-order, nonlinear and hybrid dynamics…

Robotics · Computer Science 2020-03-23 Wen-Loong Ma , Aaron D Ames

Models of bipedal locomotion are hybrid, with a continuous component often generated by a Lagrangian plus actuators, and a discrete component where leg transfer takes place. The discrete component typically consists of a locally embedded…

Robotics · Computer Science 2016-06-13 Hamed Razavi , Anthony M. Bloch , Christine Chevallereau , J. W. Grizzle

High-fidelity simulations of mixing and combustion processes are generally computationally demanding and time-consuming, hindering their wide application in industrial design and optimization. The present study proposes parametric reduced…

Fluid Dynamics · Physics 2023-08-29 Chenxu Ni , Siyu Ding , Xingjian Wang

Legged locomotion shows promise for running in complex, unstructured environments. Designing such legged robots requires considering heterogeneous, multi-domain constraints and variables, from mechanical hardware and geometry choices to…

Robotics · Computer Science 2024-07-18 Reed Truax , Feng Liu , Souma Chowdhury , Ryan St. Pierre

Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. A Reduced Order Model (ROM) of the incompressible flow around a circular cylinder is presented in this work. The ROM…

Numerical Analysis · Mathematics 2018-02-06 Giovanni Stabile , Saddam Hijazi , Andrea Mola , Stefano Lorenzi , Gianluigi Rozza

Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate physical simulations, in which the intrinsic solution space falls into a subspace with a small dimension, i.e., the solution space has a small Kolmogorov…

Numerical Analysis · Mathematics 2020-11-17 Youngkyu Kim , Youngsoo Choi , David Widemann , Tarek Zohdi

Legged locomotion is a complex control problem that requires both accuracy and robustness to cope with real-world challenges. Legged systems have traditionally been controlled using trajectory optimization with inverse dynamics. Such…

Robotics · Computer Science 2024-01-23 Fabian Jenelten , Junzhe He , Farbod Farshidian , Marco Hutter

Traditional projection-based reduced-order modeling approximates the full-order model by projecting it onto a linear subspace. With a fast-decaying Kolmogorov $n$-width of the solution manifold, the resulting reduced-order model (ROM) can…

Numerical Analysis · Mathematics 2026-03-27 Lijie Ji , Sabrina Rashid , Yanlai Chen , Zhu Wang

Accurate and efficient modeling of cardiac blood flow is crucial for advancing data-driven tools in cardiovascular research and clinical applications. Recently, the accuracy and availability of computational fluid dynamics (CFD)…

Fluid Dynamics · Physics 2025-07-30 Eneko Lazpita , Jesus Garicano-Mena , Soledad Le Clainche

Loco-manipulation, physical interaction of various objects that is concurrently coordinated with locomotion, remains a major challenge for legged robots due to the need for both precise end-effector control and robustness to unmodeled…

Robotics · Computer Science 2025-08-07 Jin Cheng , Dongho Kang , Gabriele Fadini , Guanya Shi , Stelian Coros

Reinforcement learning (RL) has demonstrated impressive performance in legged locomotion over various challenging environments. However, due to the sim-to-real gap and lack of explainability, unconstrained RL policies deployed in the real…

Robotics · Computer Science 2025-06-06 Haoyu Wang , Ruyi Zhou , Liang Ding , Tie Liu , Zhelin Zhang , Peng Xu , Haibo Gao , Zongquan Deng

This article presents an innovative open-source software named ModelFLOWs-app, written in Python, which has been created and tested to generate precise and robust hybrid reduced order models (ROMs) fully data-driven. By integrating modal…

Computational Engineering, Finance, and Science · Computer Science 2023-05-30 A. Hetherington , A. Corrochano , R. Abadía-Heredia , E. Lazpita , E. Muñoz , P. Díaz , E. Moira , M. López-Martín , S. Le Clainche

SLOT (Soft Legged Omnidirectional Tetrapod), a tendon-driven soft quadruped robot with 3D-printed TPU legs, is presented to study physics-informed modeling and control of compliant legged locomotion using only four actuators. Each leg is…

Robotics · Computer Science 2026-02-19 Saumya Karan , Neerav Maram , Suraj Borate , Madhu Vadali